3 papers
physics.acc-ph2026
Approximate Invariant Analysis: An Efficient Framework for Nonlinear Beam Dynamics, Part I: Geometric Approaches of the Poincaré Rotation Number
Yongjun Li, Sergei Nagaitsev, Derong Xu +2
We present the first part of an efficient framework for nonlinear beam dynamics, termed Approximate Invariant Analysis (AIA). The framework is based on the construction of approxim…
nlin.SI2025
Frequency Extraction from Invariant Flows
Derong Xu, Yongjun Li, Yue Hao +1
In non-degenerate integrable Hamiltonian systems, invariant tori can be parameterized equivalently by action variables or by their fundamental frequencies. We introduce an invarian…
physics.acc-ph2025
Dynamic Focusing to Suppress Emittance Transfer in Crab-Crossing Flat Beam Collisions
Derong Xu, J Scott Berg, Michael M Blaskiewicz +8
Flat hadron beam collisions, though expected to enhance peak luminosity by about an order of magnitude, have not yet been demonstrated. Our study reveals a critical limitation: rea…